Solvability of Nonlinear Singular Problems for Ordinary Differential Equations
Contemporary Mathematics and Its Applications
Volume 5						

Solvability of Nonlinear Singular Problems for Ordinary Differential Equations

Irena Rachunkova, Svatoslav Stanek, and Milan Tvrdy

This book is devoted to singular boundary value problems for ordinary differential equations. It presents existence theory for a variety of problems having unbounded nonlinearities in regions where their solutions are searched for. The importance of thorough analytical solvability investigations is emphasized by the fact that numerical simulations of solutions to such problems usually break down near singular points. The book provides both general existence principles and various effective existence criteria which gives the theoretical framework for investigation of variety singular boundary value problems.

The contents of the monograph is mainly based on results obtained by the authors during the last few years but it also systematically describes the existing literature and compares various known existence results. Most of the more advanced results to date in this field can be found here. Besides, some known results are presented in a new way. The selection of topics reflects the particular interests of the authors.

The book is addressed to researchers in related areas, to graduate students or advanced undergraduates and, in particular, to those interested in singular and nonlinear boundary value problems. It can serve as a reference book on the existence theory for singular boundary value problems of ordinary differential equations as well as the textbook for graduate or undergraduate classes.